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Alexxx [7]
2 years ago
6

Combine terms/simolify

Mathematics
1 answer:
-Dominant- [34]2 years ago
5 0

Answer:

\dfrac{2m -1}{5}

Step-by-step explanation:

Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:

2\huge\text{(}\dfrac{1}{5} m - \dfrac{2}{5} \huge\text{)} + \dfrac{3}{5}

2\huge\text{(}\dfrac{m - 2}{5} \huge\text{)} + \dfrac{3}{5}

Now, we can multiply the expression inside the parentheses by 2.

\huge\text{(}\dfrac{2m - 4}{5} \huge\text{)} + \dfrac{3}{5}

Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.

\dfrac{2m - 4}{5}  + \dfrac{3}{5}

We can combine the denominators as the denominators are the same.

\dfrac{2m - 4 + 3}{5}

Finally, we can simplify -4 + 3.

\dfrac{2m -1}{5}

Therefore, the simplified expression is (2m - 1)/5.

Learn more about combining like terms: brainly.com/question/13080103

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Uma função f é dada por f(x) = ax + b, em que a e b são números reais. Se f(–1) = 3 e f(1) = –1, determine o valor de f(3).
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F(x) = ax + b
Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.


f(-1) = 3

a(-1) + b = 3

f(1) = -1

a(1) + b = -1

O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao. 
A variavel a e eliminada.



-a + b = 3
a + b = -1

2b = 2

b = 1

a + 1 = -1

a = -2

Agora sabemos the a = -2 e b = 1.
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f(x) = -2x + 1

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f(3) = -5
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